Questions on Word Problems: Travel and Distance answered by real tutors!

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Question 69387: kindly solve and show the solution for this problem.....
For their daily training, two athletes jog every morning. They start 9 km apart and start to jog toward each other. Athlete A jogs at 10 kph while Athlete B jogs at 12.5 kph. In how many hours will they meet? What is the distance covered by each athlete?
Click here to see answer by stanbon(57347)

Question 69386: can you please solve and show the solution for this problem....
Husband and wife start from the same starting point and run in the same direction. The husband runs twice the rate of the wife. After 1 1/2 hours, the distance between the two is 7.5 km. find the speed of each.
Click here to see answer by stanbon(57347)

Question 69385: kindly solve these problems and please show the solutions:
1. two jet planes A and B pass each other flying in opposite directions. The average speed of jet A is 1030 kph while jet B is 90 kph. If they have been flying for 2 1/2 hours, what is the distance between them.
2. for their daily training, two athletes jog every morning. They start 9 km apart and start to jog toward each other. Athlete A jogs at 10 kph while Athlete B jogs at 12.5 kph. In how many hours will they meet? What is the distance covered by each athlete?
Click here to see answer by stanbon(57347)

Question 69472: The problem is:
Two cars leave town going in the same direction on the same road. One tracels at 30 mph and the other at 46 mph. In how many hours will they be 72 miles apart?
I dont get how to set up the problem.
Click here to see answer by Nate(3500)

Question 69468: The question is:
A motorboat took 3 hours to make a downstream trip with a current of 6 km/hr. The return trip against the same current took 5hrs. Find the speed of the boat in still water.
I am not sure how to solve resistance problems. If you could just tell me the formula or how to get started, that would be great. thanks.
Click here to see answer by Nate(3500)

Question 69480: Two cars leave town going in the same direction on the same road. One travels at 30mph and the other at 46mph. In how many hours will they be 72 miles apart?
Click here to see answer by checkley75(3666)

Question 69653: I need to solve this problem then explain why it is so.
Each hour, an airplane leaves New York for London. The trip across takes 6 hours. At the same times, airplanes leave London for New York. How many planes from London will a given airplane from New York meet on its trip to London?
NOTE: For this problem it will be assumed that planes, within reasonable safety considerations, follow similar paths in their trips and travel at the same constant speed.
Any assistance would be greatly appreciated.
Thanks
Click here to see answer by 303795(595)

Question 69888: Lawanda and Betty both drive the same distance to the shore. By driving 15 miles per hour faster than Betty, Lawanda can get there in 3 hours while Betty takes 4 hours. How fast does each drive?
Click here to see answer by ptaylor(2048)

Question 69986: I am having a difficult time with this problem. Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream. Someone please help?
Click here to see answer by ankor@dixie-net.com(15652)

Question 70281: Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pattravels 5 miles per hour slower than Bob, and her route takes her one-half hour longer than Bob's. How fast is each one traveling?
Click here to see answer by stanbon(57347)

Question 70377: An experimental electric-solar car completed a 1000-mi. race in 35 hrs. For the 600 mi. traveled during daylight the car averaged 20 mph more than it did for the 400 mi. traveled at night. What is the average speed of the car during the daytime?
Click here to see answer by stanbon(57347)

Question 70536: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second portion of the trip?
480/t = 560/t+1
480(t+1) = 560/t
480/t + 560
480/t + 960 = 560t
From here I believe I am lost on how to figure this out, can you help please? Thank you
Click here to see answer by funmath(2925)

Question 70679: Mr. Zaleva flew his private plane from his office to his companies storage facility, bucking a wind of 20-mph head wind the whole way. He flew home the same day with the same wind at his back. The round trip took 10 hours of flying time. If the plane makes 100 mph in still air, how far is the storage facility from his office.
Time= 10 hours
Rate= there= 100-20=80
and back= 100+20=120
Distance= x
Click here to see answer by stanbon(57347)

Question 70805: The diamerter of the Mily Way disc is approximately 9 x 10^20 meters. How long does it take light, traveling in 10^16 m/year to travel across the diamerter of the Milky Way?
I am really confused on this one, and need some help.
Thanks
Click here to see answer by josmiceli(9680)

Question 70886: A police cruiser on a highway chase passes Luther in his pickup truck. The Policeman drives 18 MPH faster that Luther. In the same time that Luther drives 10 miles the policeman drives 13 miles. What is the speed of the police cruiser?
Click here to see answer by ankor@dixie-net.com(15652)

Question 70890: A jet traveled 1029 km in 6 hours flying aginst a headwind. The return trip (with the headwind) took 3 1/3 hours. Find the speed of the jet in still air.
Click here to see answer by checkley75(3666)

Question 70885: Two cars are 10 miles apart going in the opposite direction. If one car goes 50 mph and the other 60 mph; how far will they be in two hours?
Click here to see answer by checkley75(3666)

Question 70898: Hi, I have been working on this problem all day, and still can't figure it out. I would appreciate any help, I have a test tomorrow, and there will probably be one like it.
A metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, and Amtrak train leaves on the same track, traveling at an average speed of 50 miles per hour faster than the Metra train. At 3 PM the Amtrak train is 10 miles behind the commuter train. How fast is each going?
Thank you,
Jodi

Click here to see answer by checkley75(3666)

Question 70982: Problem#22
Adriana took 2h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, wha was the driving time each day?

Problem#26
A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10h, what is the plane's speed in still air?

Problem#34
Kevin earned $165 interest for 1year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by hailu(13)

Question 71054: The record for balancing in one foot is 34 hours. ¿If you balance in one foot for 30 minutes, how much longer do you need to balance, to tie the record?
Click here to see answer by mathman409(67)

Question 71139: The Diameter of the Earth is approximately 7,920 miles. Given that the circumference of a circle is ? times it's diameter, which statement best describes the length of a trip from Washington to Madagascar that is approximately 8,600 iles long?
0 1/4 of the circumference of the Earth
0 3/10ths of the circumference of the Earth
0 1/3 of the circumference of the Earth.
0 1/2 of the circumference of the Earth

my answer is 1/3rd of the Earth, however I would like verification of this.
Click here to see answer by Earlsdon(6287)

Question 71149: A, B are two light source 100m apart. A is twice as strong as B. P is a point between A, B. Intensity of illumination varies inversely as the square of the distance from the light source. Find the length of AP so that the point P is the darkest
thank you
Click here to see answer by ankor@dixie-net.com(15652)

Question 71212: Skip and Laurie paddle a raft 15 miles downstream in 3 hours. On the return trip, they paddle the raft the same distance upstream in 5 hours. Find the rate of the current.

Click here to see answer by ptaylor(2048)

Question 71240: Hi, I could use some help with this problem. I had thought there was a similar one in here, but I couldn't find it again.
Thank you!
An object is thrown down from the top of a building 1280 ft tall with an initial velocity of 32 ft per second. The distance s(in feet) of the object from the ground after t seconds is s=1280-32t-16t^2
a. When will the object strike the ground?
b. What is the height of the object after 4 seconds?
Thank you.
Click here to see answer by bucky(2189)

Question 71261: You can travel28 miles in 45 minutes. You want to know the number of minutes you will need to go 59 miles if you travel at the same rate?
Click here to see answer by checkley75(3666)

Question 71287: the jones family drove to Disneyland at 50mph and returned on the same route at 40mph. Find the distance to Disneyland if the total driving time was 7.2hrs.
Click here to see answer by funmath(2925)

Question 71389: A family drove to a beach resort at an average speed of 55 MPH and later returned over a road at an average speed of 65 MPH. Find the distance to the resort if the total driving time was 12 hours.
Click here to see answer by bucky(2189)

Question 71530: a motorboat leaves the harbour and travels at an average speed of 9mph toward a small island. Two hours later a cabin cruiser leaves the same harbour and travels at an average speed of 12 mph toward the same island. In how many hours after the cabin cruiser leaves the harbour will it be alongside the motorboat?
Click here to see answer by ptaylor(2048)

Question 71560: Science and medicine. A plane flies 720 mi against a steady 30-mi/h headwind
and then returns to the same point with the wind. If the entire trip takes 10 h, what
is the plane’s speed in still air?
Click here to see answer by galactus(183)

Question 71687: 2 planes leave Chicago-one traveling due east and the other due west. The first travels 100miles per hour faster than the second. How long will it be until they are 2000 miles apart
Click here to see answer by ptaylor(2048)

Question 71724: 23. A cross-country skier leaves a camp to explore a wilderness area. Two hours later a friend leaves the camp in a snowmobile, travelling 4 mph faster than the skier, and meets the skier 1 h later. Find the rate of the snowmobile.
Click here to see answer by ankor@dixie-net.com(15652)

Question 71764: It is 395 km from ski valley to Vancouver. Sam made the trip in 6h travelling by bus and train. The train averaged 70 km/h and the bus 60 km/h. How much time was spent travelling by the train?
Click here to see answer by checkley75(3666)

Question 71938: A pelican flying in the air over water drops a crab from a height of 30 feet. The distance the crab is from the water as it falls can be represented by the function, where t is time, in seconds. To catch the crab as it falls, a gull flies along a path represented by the function. Can the gull catch the crab before the crab hits the water? Justify your answer. (The use of the accompanying grid is optional.)

Click here to see answer by stanbon(57347)

Question 71973: A consultant traveled 4 hours to attend a meeting. The return trip took only 3 hours because the speed was 7 miles per hour faster. What was the consultant's speed each way?
Click here to see answer by bucky(2189)

Question 72168: My instructor made this question up. But we use the Second Edition, Intermediate Algebra testbook, by Bittinger, ellenbogen, Johnson and chapter 6 - sorry if you have answered a question like this already? I saw some similar but not with the "skill water"...
question is.
A boat travels 10 miles per hour in still water. It travels 20 miles down a river in the same time that it travels 5 miles up the same river. What is the speed of the River?
thank you.

Click here to see answer by checkley75(3666)

Question 72126: A plane dlies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h. what is the plan's speed in still air?
I am confussed on this problem and need some help. Thanks
Click here to see answer by checkley75(3666)

Question 72125: Adriana took 2 h longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
On this one I came up with the first day 4 hours and 12 min and the second day I came up with 3 hours and 20 min. Is this correct. Thanks

Click here to see answer by checkley75(3666)

Question 72124: A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the frieght train, find the speed of each.
I came up with 45 mi/h and I am not sure this is not correct, but I need to verify this. Thanks
Click here to see answer by rmromero(383)

Question 72262: Ted walked for 90 minutes and biked for 30 minutes. He bikes 4 times faster than he walks. If the total distance traveled is 10.5 miles. What was his walking speed in miles per hour?
Click here to see answer by checkley75(3666)

Question 72462: A body is thrown straight from the ground with an initial velocity of 96 feet per second. Neglecting air resistance, its height h, measured in feet, after t seconds, is given by the formula:
h=96t-16t(squared)
A)After how many seconds does the body reach its maximum height?
B)What is the maximum height?
Click here to see answer by funmath(2925)

Question 72518: The base of an isosceles triangle is 12 in. less than the length of the equal sides. If the perimeter of the triangle is 39 in., find the length of each of the sides.
Click here to see answer by Edwin McCravy(8909)

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